Radon Transform Inversion Formula in the Class
of Discontinuous Functions
摘要
Abstract
We introduce the concept of a pseudoconvex set in an odd-dimensional Euclidean space.The inversion formula is obtained for the Radon transform in the case where the integrand is apiecewise continuous function defined on a pseudoconvex set. The result achieved isa generalization of a previously known property proved for smooth functions.